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1055441440 = 25530721487
BaseRepresentation
bin111110111010001…
…100001000100000
32201112222222110201
4332322030020200
54130143111230
6252421434544
735104050514
oct7672141040
92645888421
101055441440
114a1850859
1225556ba54
1313a87c281
14a0260144
15629d35ca
hex3ee8c220

1055441440 has 48 divisors (see below), whose sum is σ = 2501718912. Its totient is φ = 420781824.

The previous prime is 1055441389. The next prime is 1055441461. The reversal of 1055441440 is 441445501.

It is a super-2 number, since 2×10554414402 = 2227913266538547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055441399 and 1055441408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38377 + ... + 59863.

It is an arithmetic number, because the mean of its divisors is an integer number (52119144).

Almost surely, 21055441440 is an apocalyptic number.

1055441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250859456).

1055441440 is an abundant number, since it is smaller than the sum of its proper divisors (1446277472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055441440 is a wasteful number, since it uses less digits than its factorization.

1055441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21809 (or 21801 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1055441440 is about 32487.5582338839. The cubic root of 1055441440 is about 1018.1490975493.

Adding to 1055441440 its reverse (441445501), we get a palindrome (1496886941).

The spelling of 1055441440 in words is "one billion, fifty-five million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 307 614 1228 1535 2456 3070 4912 6140 9824 12280 21487 24560 42974 49120 85948 107435 171896 214870 343792 429740 687584 859480 1718960 3437920 6596509 13193018 26386036 32982545 52772072 65965090 105544144 131930180 211088288 263860360 527720720 1055441440